From a random sample of 185 children from school G, 108 indicated they wanted to study science in college. From a different rand
om sample of 165 children from school H, 92 indicated they wanted to study science in college. Assuming all conditions for inference are met, which of the following is closest to the standard error for a confidence interval for the difference in population proportions between the two schools of children who want to study science in college?A. 1.96 underroot(200/350)(1 − 200/350)/350.B. Underroot(108/185)(1 − 108/185)185 − (92/165)(1−92/165)/165.C. Underroot(108/185)(1 − 108/185)185 + (92/165)(1−92/165)165.D 1.96 underroot(108/185)(1 − 108/185)185 + (92/165)(1 − 92/165)165.E. Underroot(200/300)(1 - 200/300)/350.
To figure this out, set up an equation. 7.7/25 = x/100. This is because 7.7 miles out of 100 is equal to some percentage of 100. Then, solve by simplifying both sides and isolating the variable of x.
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